Search a number
-
+
830307527800 = 235219317048451
BaseRepresentation
bin11000001010100100010…
…11110110110001111000
32221101011120002200012021
430011102023312301320
5102100432211342200
61433234335524224
7113662536352252
oct14052213666170
92841146080167
10830307527800
112a0149a53a33
12114b04389674
13603b3c76a8a
142c289582cd2
15168e8e1541a
hexc1522f6c78

830307527800 has 96 divisors (see below), whose sum is σ = 2097619315200. Its totient is φ = 304493040000.

The previous prime is 830307527773. The next prime is 830307527851. The reversal of 830307527800 is 8725703038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3406426 + ... + 3642025.

It is an arithmetic number, because the mean of its divisors is an integer number (21850201200).

Almost surely, 2830307527800 is an apocalyptic number.

It is an amenable number.

830307527800 is an abundant number, since it is smaller than the sum of its proper divisors (1267311787400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830307527800 is a wasteful number, since it uses less digits than its factorization.

830307527800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048517 (or 7048508 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 830307527800 in words is "eight hundred thirty billion, three hundred seven million, five hundred twenty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11780 14725 23560 29450 58900 117800 7048451 14096902 28193804 35242255 56387608 70484510 133920569 140969020 176211275 218501981 267841138 281938040 352422550 437003962 535682276 669602845 704845100 874007924 1071364552 1092509905 1339205690 1409690200 1748015848 2185019810 2678411380 3348014225 4151537639 4370039620 5356822760 5462549525 6696028450 8303075278 8740079240 10925099050 13392056900 16606150556 20757688195 21850198100 26784113800 33212301112 41515376390 43700396200 83030752780 103788440975 166061505560 207576881950 415153763900 830307527800